Time and Distance with Explanation

Q1. Rohan is running at a speed of 6 km/hr crosses a flyover in 18 minutes. What is the length of the flyover (in meters)?

A. 1800 meters

B. 1500 meters

C. 1200 meters

D. 1900 meters

Answer- Option A

Explanation-

Rohan's speed = 6 km/hr = 6x

518

m/sec =

53

m/sec

Length of the flyover =

53

x18x60 = 1800 m

Q2. Ankita left for Delhi from Jaipur at 6 AM. For 2 hours, she traveled at the rate of 80 km/hr. After that, she reduced her speed to 60 km/hr. If the distance between two cities is 400 km, find the time when Ankita will reach Delhi?

Q3. In one minute, a bike travels a distance of 550 meters whereas a car travels a distance of 33 km in 45 minutes. What is the ratio of their speed?

A. 5 : 6

B. 3 : 4

C. 4 : 2

D. 1 : 5

Answer- Option B

Explanation-

Ratio of speeds =

55060

x

185

:

3345

x60

= 33 : 44 = 3 : 4

Q4. Simran runs around a circular field at a rate of 6 rounds per hour whereas Anita walks around the same field at the rate of 1 round per hour. If both started in the same direction from the same point at 7:30 AM then at what time they will first cross each other?

A. 8:15 AM

B. 7:50 AM

C. 8:00 AM

D. 7:42 AM

Answer- Option D

Explanation-

Relative speed of Simran w.r.t Anita = 6 - 1 = 5 rounds per hour Time taken to complete one round at this speed =

15

= 12 min

Q5. What is the time taken by a man to run around a rectangular field of dimension 33 meters by 37 meters, if he runs at the speed of 6 km/hr?

A. 56 sec.

B. 65 sec.

C. 40 sec.

D. 55 sec.

Answer- Option A

Explanation-

Speed = 6 km/hr = 6x

518

m/sec = 2.5 m/sec

Distance = 2x(33 + 37) = 140 m Time taken =

1402.5

= 56sec

Q6. A worker covered a distance of 61 km in 9 hours. He traveled partly on public transport at 4 km/hr and partly on auto at 9 km/hr. What is the distance traveled on public transport?